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Old 2019-12-12, 21:39   #183
sweety439
 
Nov 2016

22·3·5·47 Posts
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Smallest prime p such that the sum of all powers of primes 2^2 + 3^3 + 5^5 + 7^7 + 11^11 + ... + p^p up to p is a multiple of n:

Code:
n,p
1,2
2,2
3,5
4,2
5,11
6,5
7,13
8,41
9,11
10,11
11,137
12,5
13,19
14,23
15,11
16,211
17,131
18,11
19,23
20,17
21,23
22,137
23,73
24,41
25,227
26,167
27,11
28,233
29,71
30,11
31,3
32,211
33,439
34,257
35,727
36,41
37,367
38,23
39,167
40,191
41,67
42,23
43,359
44,283
45,11
46,73
47,389
48,211
49,61
50,227
51,1151
52,167
53,181
54,11
55,137
56,233
57,23
58,233
59,173
60,17
61,227
62,47
63,613
64,823
65,29
66,439
67,151
68,257
69,73
70,727
71,227
72,41
73,151
74,367
75,227
76,211
77,1697
78,167
79,241
80,211
81,11
82,67
83,773
84,233
85,257
86,389
87,233
88,283
89,67
90,11
91,977
92,919
93,47
94,389
95,211
96,211
97,23
98,727
99,647
100,751
101,907
102,1433
103,743
104,1913
105,977
106,1489
107,653
108,41
109,383
110,137
111,911
112,829
113,1039
114,23
115,1453
116,233
117,167
118,353
119,1553
120,211
121,647
122,227
123,67
124,83
125,1129
126,1367
127,617
128,823
129,359
130,431
131,191
132,991
133,23
134,1039
135,11
136,709
137,443
138,73
139,503
140,829
141,941
142,227
143,2663
144,211
145,929
146,367
147,1213
148,367
149,269
150,227
151,71
152,211
153,1151
154,1697
155,83
156,167
157,1609
158,241
159,1873
160,211
161,349
162,11
163,383
164,191
165,2539
166,773
167,2113
168,233
169,167
170,257
171,211
172,389
173,5009
174,233
175,883
176,283
177,1741
178,67
179,239
180,83
181,1187
182,977
183,227
184,919
185,773
186,47
187,601
188,389
189,2633
190,211
191,79
192,4007
193,167
194,23
195,619
196,3253
197,269
198,991
199,3221
200,797
201,1097
202,907
203,233
204,1553
205,67
206,1471
207,2539
208,1913
209,601
210,977
211,5147
212,3623
213,227
214,653
215,829
216,41
A supsequence of A330309.

Last fiddled with by sweety439 on 2019-12-12 at 21:40
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